# What is the LCM of 2, 4, 6, and 8?

LCM of 2, 4, 6, and 8 is the lowest number which is exactly divisible by 2, 4, 6, and 8.

## Answer: LCM of 2, 4, 6, and 8 is 24

We will learn two methods to find LCM of 2, 4, 6, and 8.

## Explanation:

Least Common Multiple of 2, 4, 6 and 8 is the smallest number which is exactly divisible by 2, 4, 6, and 8

- LCM of 2, 4, 6, and 8 by Common Division Method
- LCM of 2, 4, 6, and 8 by Listing Common Multiples

### Method1: LCM of 2, 4, 6, and 8 by Common Division Method

In the division method, we divide the 2, 4, 6, and 8 simultaneously with prime numbers until no number left.

So, LCM(2, 4, 6, 8) = 2 × 2 × 2 × 3 = 24

### Method2: LCM of 2, 4, 6, and 8 by Listing Common Multiples

Look at the multiples of 2, 4, 6 and 8

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 ...,

Multiples of 4 = 4, 8, 12, 16, 20, 24,...

Multiples of 6 = 6, 12, 18, 24...

Multiples of 8 = 8, 16 , 24 , 32 , ...,

Least Common Factor of 2, 4, 6, and 8 = 24

So, LCM of 2, 4, 6, and 8 = 24